SHORT TRICK To Apply Alligation Rule on 3 Ingredients

Duration: 14 min

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Module outline

  1. Language Skills (English): Vocabulary, Verbal Analogy (Word Based Analogy), Noun, Pronoun, Verb, Adjectives, Adverb, Preposition, Articles, Conjunction, Tenses, Modals, Subject Verb Agreement (Verb Noun Agreement), Determiner, Active Passive Voice (Voice), Direct and Indirect Speech, Sentence Correction (Error Correction), Sentence Completion (Fill in the blanks), Sentence Construction, Sentence Re-arrangements (Para Jumbles) (Narrative Sequencing), Comprehension / Reading Comprehension / Unseen Passages (Critical Reasoning) (Paragraph Questions), Cloze Test (Cloze Passage)
  2. General Aptitude (Quantitative Ability): Percentage, Ratio and Proportion (Ratios), Average, Profit and Loss, Simple Interest and Compound Interest, Time and Work, Pipe and Cistern, Speed Time and Distance, Mixture and Alligation, Age Problems, Partnership, Number System, HCF LCM, Divisibility Rules, Powers and Exponents (Surds and Indices), Algebra, Data Interpretation, Statistics, Sequence and Series (Series), Logarithm, Arithmetic, Speed Mathematics and Basic Mathematics
  3. General Aptitude (Reasoning Ability): Series (Number and Letter Series) (Numerical Relations and Reasoning), Coding Decoding, Syllogisms, Blood Relations, Directions (Direction Test), Ranking, Order and Sequence, Inequality, Logical Sequence Of Words, Seating Arrangements, Puzzle Solving (Puzzles), Non Verbal Reasoning (Spatial Aptitude) (Spatial Reasoning) (Visual Reasoning), Cubes & Dices, Venn Diagram, Deductive and Inductive Reasoning (Logical Deduction and Induction) (Prepositional Reasoning), Selection Decision Table (Decision Making), Analytical Reasoning (Counting Figures Reasoning), Clock, Calendar, Data Sufficiency, Analogy
  4. Technical Skills MCQ - Data Structure: Introduction to DS, Array, Stack, Queue, Linked List, Tree, Graphs, Hashing
  5. Technical Skills MCQ - Networking: Introduction to CN, Data Communication, DLL: Access Control, DLL: Flow Control, DLL: Error Control, DLL: Framing, Data Link Layer - Ethernet, Net Layer: IPv4 & Proto, Net Layer: IP Addressing, Net Layer:Routing Protocol, Transport Layer Services, Application Layer, Mobile Technology, Network Security
  6. Technical Skills MCQ - Operating System: Introduction to OS, Process Management, CPU Scheduling, Process Synchronization, Deadlock, Threads & Process Creation, Memory Management, Virtual Memory, File Management, Windows OS, Linux OS, Security, Virtual Machines
  7. Technical Skills MCQ - DBMS: Basics of DBMS, ER Diagram, Relational Model & Functional Dependencies, Keys & Integrity Constraints, Normalization (1NF - BCNF), File Organization & Indexing, Relational Algebra, SQL, Transaction Management, Concurrency Control, Database Recovery, Database Security & Authorization, NoSQL
  8. Technical Skills MCQ - Software Engineering: Fundamentals of Software Engineering, Software Requirements and Quality Assurance, Software Design, Estimation and Metrics, Software Testing, Software Maintenance and Configuration Management
  9. Technical Skills MCQ - Cloud Computing: Emerging Tech Trends, Cloud Computing and IoT
  10. Technical Skills MCQ - Cyber Security: Cyber and Info Security, Security in Mobile and Wireless Computing
  11. Technical Skills (Coding): Coding Questions by Yash Sir, C Programming by Yash Sir, Programming in C++, Java, Python for Placements by Yash Sir, Object Oriented Programming (OOPS)
AI summary & chapters

AI Summary

An AI-generated summary of this video lecture.

This educational video, presented by Yash Jain, is a tutorial on solving mixture and alligation problems, specifically focusing on the application of the alligation rule for three ingredients. The video begins with an introduction to the topic, followed by a detailed explanation of the weighted average formula for mixtures. The core of the lesson is a worked example: determining the ratio in which three types of sugar costing Rs. 10, Rs. 12, and Rs. 16 per kg should be mixed to achieve a mixture costing Rs. 13 per kg. The instructor demonstrates the alligation method by first pairing the ingredients (10 and 16, 12 and 16) with the mean price (13), calculating the differences (3 and 3, 1 and 3), and then combining these ratios to find the final ratio of 1:3:2. The video concludes with a summary of the solution and a thank you message.

Chapters

  1. 0:00 – 2:00 00:00-02:00

    The video opens with an animated title card featuring a cartoon scientist in a lab, with the word "MIXTURE" displayed at the bottom. This transitions to a presentation slide with a geometric background, introducing the topic "MIXTURES & ALLIGATIONS" and crediting the instructor, Yash Jain. The instructor, visible in a small window, begins to explain the concept of alligation, writing "Price A", "Price B", and "Mean Price" on the screen to establish the basic framework for the problem.

  2. 2:00 – 5:00 02:00-05:00

    The instructor continues to build the theoretical foundation. He writes the formula for the weighted average of a mixture: x̄ = (n₁x₁ + n₂x₂ + n₃x₃) / (n₁ + n₂ + n₃), where x̄ is the mean price and nᵢ are the quantities. He then introduces the problem: to find the ratio of three types of sugar costing Rs. 10, Rs. 12, and Rs. 16 per kg to make a mixture costing Rs. 13 per kg. He visually represents the prices on a number line, showing that 13 lies between 10 and 16, and between 12 and 16, setting up the alligation process.

  3. 5:00 – 10:00 05:00-10:00

    The instructor applies the alligation rule. He first pairs the cheapest (10) and the most expensive (16) sugar with the mean price (13). He calculates the difference: 13 - 10 = 3 and 16 - 13 = 3, resulting in a ratio of 3:3, which simplifies to 1:1. He then pairs the middle-priced sugar (12) with the most expensive (16), calculating 13 - 12 = 1 and 16 - 13 = 3, resulting in a ratio of 1:3. He then combines these two ratios, 1:1 and 1:3, to find the final ratio of the three ingredients, which he determines to be 1:3:2.

  4. 10:00 – 13:42 10:00-13:42

    The instructor verifies the solution by substituting the ratio 1:3:2 back into the weighted average formula. He calculates the total cost as (1*10 + 3*12 + 2*16) = 10 + 36 + 32 = 78, and the total quantity as 1 + 3 + 2 = 6. The mean price is 78/6 = 13, which matches the required price. He concludes the lesson by summarizing the final answer and the method used. The video ends with a "THANKS FOR WATCHING" screen.

The video provides a clear, step-by-step tutorial on solving a three-ingredient alligation problem. It begins by establishing the fundamental formula for a mixture's mean price and then applies the alligation rule by systematically pairing ingredients with the mean price. The instructor's method of breaking down the problem into two separate two-ingredient alligations and then combining the results is a logical and effective approach. The final verification step reinforces the correctness of the solution, making the entire process a comprehensive and practical guide for students.

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